## Abstract

The operator space analogue of the strong form of the principle of local reflexivity is shown to hold for any von Neumann algebra predual, and thus for any C*-algebraic dual. This is in striking contrast to the situation for C*-algebras, since, for example, K(H) does not have that property. The proof uses the Kaplansky density theorem together with a careful analysis of two notions of integrality for mappings of operator spaces.

Original language | English (US) |
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Pages (from-to) | 59-92 |

Number of pages | 34 |

Journal | Annals of Mathematics |

Volume | 151 |

Issue number | 1 |

DOIs | |

State | Published - Jan 2000 |

## ASJC Scopus subject areas

- Statistics and Probability
- Statistics, Probability and Uncertainty

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